Results 11 to 20 of about 175,165 (277)
A New Approach to Probabilistic Rounding Error Analysis [PDF]
SIAM Journal on Scientific Computing, 2019 Summary: Traditional rounding error analysis in numerical linear algebra leads to backward error bounds involving the constant \(\gamma_n = nu/(1-nu)\), for a problem size \(n\) and unit roundoff \(u\). In light of large-scale and possibly low-precision computations, such bounds can struggle to provide any useful information.
Nicholas J. Higham, Theo Mary
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Rounding Error Analysis of Mixed Precision Block Householder QR Algorithms [PDF]
SIAM Journal on Scientific Computing, 2021 31 pages including references, 3 ...
L. Minah Yang +2 more
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Rounding-Error Analysis of Multigrid \({V}\)-Cycles
SIAM Journal on Scientific ComputingThis paper provides a rounding-error analysis for two-grid methods that use one relaxation step both before and after coarsening. The analysis is based on floating point arithmetic and focuses on a two-grid scheme that is perturbed on the coarse grid to allow for an approximate coarse-grid solve.
Stephen F. McCormick, Rasmus Tamstorf
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Probabilistic Error Analysis of Limited-Precision Stochastic Rounding
SIAM Journal on Scientific ComputingClassical probabilistic rounding error analysis is particularly well suited to stochastic rounding (SR), and it yields strong results when dealing with floating-point algorithms that rely heavily on summation. For many numerical linear algebra algorithms, one can prove probabilistic error bounds that grow as O(nu), where n is the problem size and u is ...
El-Mehdi El Arar +3 more
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An Improved Magnetic Field Method to Locate the Grounding Conductor
Sensors, 2023 The location of the grounding grid conductors is critical for performing corrosion diagnosis and maintenance work. An improved magnetic field differential method to locate the unknown grounding grid based on truncation errors and the round-off errors ...
Fan Yang +4 more
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Arpra: An Arbitrary Precision Range Analysis Library
Frontiers in Neuroinformatics, 2021 Motivated by the challenge of investigating the reproducibility of spiking neural network simulations, we have developed the Arpra library: an open source C library for arbitrary precision range analysis based on the mixed Interval Arithmetic (IA)/Affine
James Paul Turner, Thomas Nowotny
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An improved cordic for digital subdivision of Moiré signal
Metrology and Measurement Systems, 2020 The contradiction between the restriction of grating manufacturing technology and high-resolution measurement requirements has been the focus of attention.
Zhu Weibin +3 more
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A non-local method for robustness analysis of floating point programs [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 Robustness is a standard correctness property which intuitively means that if the input to the program changes less than a fixed small amount then the output changes only slightly.
Ivan Gazeau +2 more
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Unbiased Rounding for HUB Floating-point Addition [PDF]
, 2018 Copyright (c) 2018 IEEE doi:10.1109/TC.2018.2807429Half-Unit-Biased (HUB) is an emerging format based on shifting the represented numbers by half Unit in the Last Place.
Gonzalez-Navarro, Sonia +2 more
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Patient Safety, 2020 Background: The ultimate goal and purpose of healthcare is to improve health while preventing morbidity and mortality. The optimal approach to this is through teamwork using a reliability framework.
Doron Schneider +3 more
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